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test_dm_simulator.jl
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using Test, Logging, LinearAlgebra, BraketSimulator, DataStructures
LARGE_TESTS = get(ENV, "BRAKET_SIM_LARGE_TESTS", "false") == "true"
@testset "Density matrix simulator" begin
sx = ComplexF64[0 1; 1 0]
si = ComplexF64[1 0; 0 1]
matrix_1q = sx
matrix_2q = kron(si, sx)
matrix_3q = kron(sx, kron(si, si))
matrix_4q = kron(kron(sx, si), kron(si, si))
matrix_5q = kron(sx, kron(kron(sx, si), kron(si, si)))
matrix_5qi = ones(ComplexF64, 32, 32)
density_matrix_2q = zeros(ComplexF64, 4, 4)
density_matrix_2q[3, 3] = 1.0
density_matrix_3q = zeros(ComplexF64, 8, 8)
density_matrix_3q[5, 5] = 1.0
density_matrix_4q = zeros(ComplexF64, 16, 16)
density_matrix_4q[9, 9] = 1.0
density_matrix_5q = zeros(ComplexF64, 32, 32)
density_matrix_5q[25, 25] = 1.0
XX = kron([0 1; 1 0], [0 1; 1 0])
YZ = kron([0 -im; im 0], [1 0; 0 -1])
tqcp_kraus = BraketSimulator.Kraus([√0.7 * diagm(ones(4)), √0.1 * XX, √0.2 * YZ])
simulation = DensityMatrixSimulator(2, 0)
simulation = evolve!(
simulation,
[BraketSimulator.Instruction(BraketSimulator.X(), [0]), BraketSimulator.Instruction(BraketSimulator.X(), [1]), BraketSimulator.Instruction(tqcp_kraus, [0, 1])],
)
tqcp_dm = simulation.density_matrix
@testset "Simple circuits $([typeof(ix.operator) for ix in instructions])" for (
instructions,
qubit_count,
dm,
probability_amplitudes,
) in [
(
[BraketSimulator.Instruction(BraketSimulator.X(), [0]), BraketSimulator.Instruction(BraketSimulator.BitFlip(0.1), [0])],
1,
[0.1 0.0; 0.0 0.9],
[0.1, 0.9],
),
(
[BraketSimulator.Instruction(BraketSimulator.H(), [0]), BraketSimulator.Instruction(BraketSimulator.PhaseFlip(0.1), [0])],
1,
[0.5 0.4; 0.4 0.5],
[0.5, 0.5],
),
(
[BraketSimulator.Instruction(BraketSimulator.X(), [0]), BraketSimulator.Instruction(BraketSimulator.Depolarizing(0.3), [0])],
1,
[0.2 0.0; 0.0 0.8],
[0.2, 0.8],
),
(
[BraketSimulator.Instruction(BraketSimulator.X(), [0]), BraketSimulator.Instruction(BraketSimulator.AmplitudeDamping(0.15), [0])],
1,
[0.15 0.0; 0.0 0.85],
[0.15, 0.85],
),
(
[
BraketSimulator.Instruction(BraketSimulator.X(), [0]),
BraketSimulator.Instruction(BraketSimulator.GeneralizedAmplitudeDamping(0.15, 0.2), [0]),
],
1,
[0.03 0.0; 0.0 0.97],
[0.03, 0.97],
),
(
[BraketSimulator.Instruction(BraketSimulator.X(), [0]), BraketSimulator.Instruction(BraketSimulator.PauliChannel(0.15, 0.16, 0.17), [0])],
1,
[0.31 0.0; 0.0 0.69],
[0.31, 0.69],
),
(
[
BraketSimulator.Instruction(BraketSimulator.X(), [0]),
BraketSimulator.Instruction(BraketSimulator.X(), [1]),
BraketSimulator.Instruction(
BraketSimulator.TwoQubitPauliChannel(Dict("XX" => 0.1, "YZ" => 0.2)),
[0, 1],
),
],
2,
collect(tqcp_dm),
diag(collect(tqcp_dm)),
),
(
[
BraketSimulator.Instruction(BraketSimulator.H(), [0]),
BraketSimulator.Instruction(BraketSimulator.PhaseDamping(0.36), [0]),
BraketSimulator.Instruction(BraketSimulator.H(), [0]),
],
1,
[0.9 0.0; 0.0 0.1],
[0.9, 0.1],
),
(
[
BraketSimulator.Instruction(BraketSimulator.X(), [0]),
BraketSimulator.Instruction(BraketSimulator.Kraus([[0.8 0; 0 0.8], [0 0.6; 0.6 0]]), [0]),
],
1,
[0.36 0.0; 0.0 0.64],
[0.36, 0.64],
),
(
[
BraketSimulator.Instruction(BraketSimulator.X(), [0]),
BraketSimulator.Instruction(BraketSimulator.X(), [1]),
BraketSimulator.Instruction(BraketSimulator.TwoQubitDepolarizing(0.1), [0, 1]),
],
2,
[
0.026666667 0.0 0.0 0.0
0.0 0.026666667 0.0 0.0
0.0 0.0 0.026666667 0.0
0.0 0.0 0.0 0.92
],
[0.026666667, 0.026666667, 0.026666667, 0.92],
),
(
[
BraketSimulator.Instruction(BraketSimulator.H(), [0]),
BraketSimulator.Instruction(BraketSimulator.H(), [1]),
BraketSimulator.Instruction(BraketSimulator.TwoQubitDephasing(0.1), [0, 1]),
BraketSimulator.Instruction(BraketSimulator.H(), [0]),
BraketSimulator.Instruction(BraketSimulator.H(), [1]),
],
2,
[
0.8999999999 0.0 0.0 0.0
0.0 0.033333333333333 0.0 0.0
0.0 0.0 0.03333333333333331 0.0
0.0 0.0 0.0 0.03333333333333331
],
[0.8999999999, 0.03333333333333, 0.03333333333333, 0.033333333333],
),
([BraketSimulator.Instruction(BraketSimulator.X(), [0])], 2, density_matrix_2q, [0.0, 0.0, 1.0, 0.0]),
(
[BraketSimulator.Instruction(BraketSimulator.Unitary(matrix_1q), [0])],
2,
density_matrix_2q,
[0.0, 0.0, 1.0, 0.0],
),
(
[BraketSimulator.Instruction(BraketSimulator.Unitary(matrix_2q), (0, 1))],
2,
density_matrix_2q,
[0.0, 0.0, 1.0, 0.0],
),
(
[BraketSimulator.Instruction(BraketSimulator.X(), [0])],
3,
density_matrix_3q,
[0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0],
),
(
[BraketSimulator.Instruction(BraketSimulator.Unitary(matrix_3q), (0, 1, 2))],
3,
density_matrix_3q,
[0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0],
),
(
[BraketSimulator.Instruction(BraketSimulator.Unitary(matrix_4q), (0, 1, 2, 3))],
4,
density_matrix_4q,
[
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
1.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
),
([BraketSimulator.Instruction(BraketSimulator.Kraus([matrix_5q]), [0, 1, 2, 3, 4])], 5, density_matrix_5q, [
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
1.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
),
([BraketSimulator.Instruction(BraketSimulator.Kraus([matrix_5q, 0.0 * matrix_5qi]), [0, 1, 2, 3, 4])], 5, density_matrix_5q, [
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
1.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
),
]
simulation = DensityMatrixSimulator(qubit_count, 0)
simulation = evolve!(simulation, instructions)
@test dm ≈ collect(simulation.density_matrix)
@test probability_amplitudes ≈
collect(BraketSimulator.probabilities(simulation))
end
@testset "Apply observables $obs" for (obs, equivalent_gates, qubit_count) in [
([(BraketSimulator.Observables.X(), [0])], [BraketSimulator.Instruction(BraketSimulator.H(), [0])], 1),
([(BraketSimulator.Observables.Z(), [0])], BraketSimulator.Instruction[], 1),
([(BraketSimulator.Observables.I(), [0])], BraketSimulator.Instruction[], 1),
(
[
(BraketSimulator.Observables.X(), [0]),
(BraketSimulator.Observables.Z(), [3]),
(BraketSimulator.Observables.H(), [2]),
],
[BraketSimulator.Instruction(BraketSimulator.H(), [0]), BraketSimulator.Instruction(BraketSimulator.Ry(-π / 4), [2])],
5,
),
(
[(
BraketSimulator.Observables.TensorProduct([
BraketSimulator.Observables.X(),
BraketSimulator.Observables.Z(),
BraketSimulator.Observables.H(),
BraketSimulator.Observables.I(),
]),
[0, 3, 2, 1],
)],
[BraketSimulator.Instruction(BraketSimulator.H(), [0]), BraketSimulator.Instruction(BraketSimulator.Ry(-π / 4), [2])],
5,
),
(
[(BraketSimulator.Observables.X(), [0, 1])],
[BraketSimulator.Instruction(BraketSimulator.H(), [0]), BraketSimulator.Instruction(BraketSimulator.H(), [1])],
2,
),
([(BraketSimulator.Observables.Z(), [0, 1])], BraketSimulator.Instruction[], 2),
([(BraketSimulator.Observables.I(), [0, 1])], BraketSimulator.Instruction[], 2),
(
[(
BraketSimulator.Observables.TensorProduct([
BraketSimulator.Observables.I(),
BraketSimulator.Observables.Z(),
]),
[2, 0],
)],
BraketSimulator.Instruction[],
3,
),
(
[(
BraketSimulator.Observables.TensorProduct([
BraketSimulator.Observables.X(),
BraketSimulator.Observables.Z(),
]),
[2, 0],
)],
[BraketSimulator.Instruction(BraketSimulator.H(), [2])],
3,
),
]
sim_observables = DensityMatrixSimulator(qubit_count, 0)
sim_observables = BraketSimulator.apply_observables!(sim_observables, obs)
sim_gates = DensityMatrixSimulator(qubit_count, 0)
sim_gates = evolve!(sim_gates, equivalent_gates)
@test BraketSimulator.state_with_observables(sim_observables) ≈
sim_gates.density_matrix
end
@testset "Apply observables fails at second call" begin
simulation = DensityMatrixSimulator(4, 0)
simulation = BraketSimulator.apply_observables!(
simulation,
[(BraketSimulator.Observables.X(), [0])],
)
@test_throws ErrorException BraketSimulator.apply_observables!(
simulation,
[(BraketSimulator.Observables.X(), [0])],
)
end
@testset "state_with_observables fails before any observables are applied" begin
simulation = DensityMatrixSimulator(4, 0)
@test_throws ErrorException BraketSimulator.state_with_observables(simulation)
end
@testset "QFT simulation" begin
function qft_circuit_operations(qubit_count::Int)
qft_ops = BraketSimulator.Instruction[]
for target_qubit = 0:qubit_count-1
angle = π / 2
push!(qft_ops, BraketSimulator.Instruction(BraketSimulator.H(), [target_qubit]))
for control_qubit = target_qubit+1:qubit_count-1
push!(
qft_ops,
BraketSimulator.Instruction(BraketSimulator.CPhaseShift(angle), [control_qubit, target_qubit]),
)
angle /= 2
end
end
return qft_ops
end
max_qc = 10
@testset "Qubit count $qubit_count" for qubit_count in 2:max_qc
simulation = DensityMatrixSimulator(qubit_count, 0)
operations = qft_circuit_operations(qubit_count)
simulation = evolve!(simulation, operations)
@assert collect(BraketSimulator.probabilities(simulation)) ≈
fill(1.0 / (2^qubit_count), 2^qubit_count)
end
end
@testset "samples" begin
simulation = DensityMatrixSimulator(2, 10000)
simulation =
evolve!(simulation, [BraketSimulator.Instruction(BraketSimulator.H(), [0]), BraketSimulator.Instruction(BraketSimulator.CNot(), [0, 1])])
samples = counter(BraketSimulator.samples(simulation))
@test BraketSimulator.qubit_count(simulation) == 2
@test collect(keys(samples)) == [0, 3]
@test 0.4 < samples[0] / (samples[0] + samples[3]) < 0.6
@test 0.4 < samples[3] / (samples[0] + samples[3]) < 0.6
@test samples[0] + samples[3] == 10000
end
@testset "batch" begin
function make_ghz(num_qubits)
ghz = BraketSimulator.Program(BraketSimulator.braketSchemaHeader("braket.ir.jaqcd.program", "1"), BraketSimulator.Instruction[BraketSimulator.Instruction(BraketSimulator.H(), 0)], BraketSimulator.AbstractProgramResult[], BraketSimulator.Instruction[])
for ii in 0:num_qubits-2
push!(ghz.instructions, BraketSimulator.Instruction(BraketSimulator.CNot(), [ii, ii+1]))
end
return ghz
end
num_qubits = 5
n_circuits = 100
shots = 1000
jl_ghz = [make_ghz(num_qubits) for ix in 1:n_circuits]
jl_sim = DensityMatrixSimulator(num_qubits, 0);
# suppress warnings about noise
with_logger(NullLogger()) do
results = BraketSimulator.simulate(jl_sim, jl_ghz, shots)
for (r_ix, r) in enumerate(results)
@test length(r.measurements) == shots
@test 400 < count(m->m == fill(0, num_qubits), r.measurements) < 600
@test 400 < count(m->m == fill(1, num_qubits), r.measurements) < 600
end
end
end
@testset "similar, copy and copyto!" begin
qubit_count = 10
orig = DensityMatrixSimulator(qubit_count, 0)
sim = similar(orig, shots=100)
@test sim.shots == 100
@test orig.shots == 0
sim.density_matrix = Matrix(Diagonal(1/2^qubit_count .* ones(ComplexF64, 2^qubit_count)))
sim2 = copy(sim)
@test sim2.shots == 100
@test sim2.density_matrix == Matrix(Diagonal( 1/2^qubit_count .* ones(ComplexF64, 2^qubit_count)))
sim.density_matrix = Matrix(Diagonal(1/√2^qubit_count .* [exp(im*rand()) for ix in 1:2^qubit_count]))
copyto!(sim2, sim)
@test sim2.density_matrix ≈ sim.density_matrix
end
@testset "supported operations and results" begin
qubit_count = 10
sim = DensityMatrixSimulator(qubit_count, 0)
@test BraketSimulator.supported_operations(sim) == [
"U",
"GPhase",
"ccnot",
"cnot",
"cphaseshift",
"cphaseshift00",
"cphaseshift01",
"cphaseshift10",
"cswap",
"cv",
"cy",
"cz",
"ecr",
"gpi",
"gpi2",
"h",
"i",
"iswap",
"ms",
"pswap",
"phaseshift",
"prx",
"rx",
"ry",
"rz",
"s",
"si",
"swap",
"t",
"ti",
"unitary",
"v",
"vi",
"x",
"xx",
"xy",
"y",
"yy",
"z",
"zz",
"bit_flip",
"phase_flip",
"pauli_channel",
"depolarizing",
"two_qubit_depolarizing",
"two_qubit_dephasing",
"amplitude_damping",
"generalized_amplitude_damping",
"phase_damping",
"kraus",
]
@test BraketSimulator.supported_result_types(sim) == BraketSimulator.supported_result_types(sim, Val(:OpenQASM))
end
end